Unified theoretical–empirical verification of the Cognitive Uncertainty Principle (CUP). A jump–diffusion model reveals an epistemic phase boundary between a Fisher regime (Δε·ΔDₖₗ ≥ 1.17×10⁻⁴) and a KL regime (Δε·ΔDₖₗ ≈ 1.71×10⁻²). The canonical bound Δβ·KL ≥ 3.94×10⁻⁴ remains robust.
kullback-leibler-divergence uncertainty-quantification fisher-information benfords-law subjective-physics perceptual-resolution cognitive-uncertainty-principle bootstrap-estimation jump-diffusion-dynamics epistemic-phase-boundary dual-cognitive-regimes one-over-f-fluctuations
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Updated
Nov 5, 2025 - Python